∫x(sin4x•cos2x)dx = ???

Asked by patelmanan4102002 | 21st Aug, 2019, 06:52: PM

Expert Answer:

begin mathsize 16px style straight I equals integral xsin 4 xcos 2 xdx
straight I equals 1 half integral straight x open parentheses sin 6 straight x minus sin 2 straight x close parentheses dx
straight I equals 1 half integral open parentheses xsin 6 straight x minus xsin 2 straight x close parentheses dx
straight I equals 1 half open parentheses integral xsin 6 xdx minus integral xsin 2 xdx close parentheses
Integrate space it space further. end style

Answered by Sneha shidid | 22nd Aug, 2019, 10:37: AM